The Common Character of Orthomorphisms on the Finite Field GF(2~n)
Xiusheng Liu · Journal of Wuhan University · 2012
The orthomorphism on finite field GF(2n) is a kind of permutations that is the most widely used in cross-cutting issue,and the orthomorphic polynomials over the finite field is an effective method to study it.This paper has obtained the coefficients relationship of the orthomorphisms over the GF(2n) by algebraic methods.In addition,this paper has attained the maximal subgroup structure and counting in the GF(2n).It is helpful to provide the theoretical support for the in-depth study of the nature of the orthomorphism.